Standard bases for the universal associative conformal envelopes of Kac--Moody conformal algebras

Abstract

We study the universal enveloping associative conformal algebra for the central extension of a current Lie conformal algebra at the locality level $N=3$. A standard basis of defining relations for this algebra is explicitly calculated. As a corollary, we find a linear basis of the free commutative conformal algebra relative to the locality $N=3$ on the generators.

23 pages

References in corpus (1)

• Universal enveloping Poisson conformal algebras

Cited by in corpus (1)

• Defining relations and Gröbner--Shirshov bases of Poisson algebras as of conformal modules